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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004861743928 2,048 digits created 2023-10-24

Value

78881065920778741344239555377864449273374562198582780599436874766865704497869064940751320172541262372998909206095972299509483827093124796569447746342189471283508564469869743115326766579764644704351101643465897366399088296568608984665119684643068614857677630686540280266335443733588272243614039017733947118566843560908499144068324439152052854047256491031350153645165952937328653877548431245713892958312383765916780455247768284911486809169299175737551605828725491637689027803239241935443391298514950050653072586015578854718900043626596339016017236484491995063756744876681420397241876475640071167602865443182931479452142745347852133307898659337194060890497665189056090583778497507892128449047853876704565358375293754380175176014317897388284239789077660618482055447684127675539038088455240309628452412648448229336290742012190864450947797576133714258417495701309782276091925130554210787733075195454747524472962263042787551824938477257332053366747832861115749613909762295674197014501007377008772224922449406099866108329412159055434504438927234066775158185876775072826356686033733036914365476605999042156810821609521024229436744910371526706540516358953713055628359057506576549162578368687138756745232371091903571646524407557742388114101809608785591953738654589435802412454485462277071149392883098525755973993973089480892679448987607108754182916905066574143646491879308299324320983341680483003428528231221675048135452832701917724144663152734730304224096107349572984381310765269556285025866660469724626564972813744999700684679743961302313283489213123340269737709276737735781524099081341032033498575728054158881470432267549211593402755196427702546545327614012994567727407373714392141375098875403628222758598185796141470373776859107105010330676386628786130499838923941983928645065790117287512292183956220813862773689486162731695564880301990233441509562401407426029369697452792543495908484574425006420610719901002633816272664453389131713053593807134144980105058765900911957806184407087302394524385111323844566404312904170231630927036024020850954949068616697543
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 89 of the certificate chain of a 2,901-digit prime (325 intermediate primes).

Certified number2,901-digit prime
Certificatedownload
Certificate chainshow step 89 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861743928 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004861743928},"decimal":true,"detail":2}}'